Greatest Common Factor of 36306 and 36312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 36306, 36312 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36306 and 36312 is 6.

GCF(36306,36312) = 6

GCF of 36306 and 36312

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 36306 and 36312

GCF of 36306 and 36312 is 6

Prime Factorization of 36306


2 36306
3 18153
3 6051
2017 2017
1

Prime factors of 36306 are 2,3,2017. Prime factorization of 36306 in exponential form is:

36306 = 21×32×20171

Prime Factorization of 36312


2 36312
2 18156
2 9078
3 4539
17 1513
89 89
1

Prime factors of 36312 are 2,3,17,89. Prime factorization of 36312 in exponential form is:

36312 = 23×31×171×891

∴ So by taking common prime factors GCF of 36306 and 36312 is 6

Greatest Common Factor of 36306 and 36312 by matching factors method

Factors of 36306

List of positive integer factors of 36306 that divides 36306 without a remainder.

1,2,3,6,9,18,2017,4034,6051,12102,18153,36306

Factors of 36312

List of positive integer factors of 36312 that divides 36312 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,89,102,136,178,204,267,356,408,534,712,1068,1513,2136,3026,4539,6052,9078,12104,18156,36312

Greatest Common Factor

We found the factors and prime factorization of 36306 and 36312. The biggest common factor number is the GCF number.
So the greatest common factor 36306 and 36312 is 6.

Also check out the Least Common Multiple of 36306 and 36312

Properties of GCF 36306 and 36312

(i) The GCF of 36306 and 36312 is associative

GCF of 36306 and 36312 = GCF of 36312 and 36306

Related Greatest Common Factor of 36306

Related Greatest Common Factor of 36312

Frequently Asked Questions on GCF of 36306 and 36312

1. What is the GCF of 36306 and 36312?

Answer: GCF of 36306 and 36312 is 6.

2. What are the Factors of 36306?

Answer: Factors of 36306 are 1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153, 36306. There are 12 integers that are factors of 36306. The greatest factor of 36306 is 36306.

3. What are the Factors of 36312?

Answer: Factors of 36312 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312. There are 32 integers that are factors of 36312. The greatest factor of 36312 is 36312.

4. How to Find the GCF of 36306 and 36312?

Answer:

Greatest Common Factor of 36306 and 36312 = 6

Step 1: Find the prime factorization of 36306

36306 = 2 x 3 x 3 x 2017

Step 2: Find the prime factorization of 36312

36312 = 2 x 2 x 2 x 3 x 17 x 89

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 36306 and 36312 is 6